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answer correctly (1) Consider a system described by the Hamiltonian H, H = b where b is a constant with dimension of energy. (a) At

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(1) Consider a system described by the Hamiltonian H, H = b where b is a constant with dimension of energy. (a) At t = 0, we measure the energy of the system. What possible values will we obtain? [5 pts] (b) At later time t, we measure the energy again. How is it related to its value we obtained at t = 0? [5 pts] (c) Suppose at t = 0, the system is equally likely to be in its two possible energy eigenstates. Write down the most general state of the system at t = 0. Taking this state as the initial state, find the state at t = 10h/b. What is the probability that the system at t = 10h/b is in a state different from its initial state? [10pts

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